Quasi-hermitian Quantum Mechanics in Phase Space

Thomas Curtright; Andrzej Veitia

doi:10.1063/1.2365716

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arXiv · quant-ph/0701006

Quasi-hermitian Quantum Mechanics in Phase Space

Thomas Curtright·Andrzej Veitia

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Abstract

We investigate quasi-hermitian quantum mechanics in phase space using standard deformation quantization methods: Groenewold star products and Wigner transforms. We focus on imaginary Liouville theory as a representative example where exact results are easily obtained. We emphasize spatially periodic solutions, compute various distribution functions and phase-space metrics, and explore the relationships between them.

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Thomas Curtright, Andrzej Veitia. 2007-01-15. Quasi-hermitian Quantum Mechanics in Phase Space. https://doi.org/10.1063/1.2365716

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